152061782401 has 9 divisors (see below), whose sum is σ = 155877454659. Its totient is φ = 148337360400.

The previous prime is 152061782387. The next prime is 152061782429. The reversal of 152061782401 is 104287160251.

The square root of 152061782401 is 389951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7327188801 + 144734593600 = 85599^2 + 380440^2 .

It is not a de Polignac number, because 152061782401 - 2⁹ = 152061781889 is a prime.

It is a super-3 number, since 3×152061782401³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152061788401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15983236 + ... + 15992746.

Almost surely, 2^152061782401 is an apocalyptic number.

152061782401 is the 389951-st square number.

152061782401 is the 194976-th centered octagonal number.

It is an amenable number.

152061782401 is a deficient number, since it is larger than the sum of its proper divisors (3815672258).

152061782401 is an frugal number, since it uses more digits than its factorization.

152061782401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19104 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 152061782401 in words is "one hundred fifty-two billion, sixty-one million, seven hundred eighty-two thousand, four hundred one".